Let us make here a brief review of \(p\) -adic analysis. We refer [1]}, [2]}, [3]} for details and proof of the results in this section. \(\mathbb {Q}\)  and \(\mathbb {C}\)  denote the set of rational numbers and the set of complex numbers respectively. For a prime \(p\) , the \(p\) -adic norm \(|\cdot |_{p}\)  on \(\mathbb {Q}\)  is defined as follows
